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Algebra

Substituting Numbers into Formula

In this lesson we will learn how to substitute numbers into more complicated formulas. Rob uses real formulas and real examples from Science in this lesson. This lesson takes you to New Zealand where you will see Dolphins chasing boats and jumping out of the water, Mt Everest on a very cold day and to the Eiffel Tower in France.

The questions covered in this lesson are all real equations and real life examples: i) Using the formula $KE$ = $\frac{{mv}^2}{2}$, find the kinetic energy, $KE,\ $of a dolphin with a mass of 300kg and velocity of 15m/s. ii) Using the formula $F$ = $\frac{9}{5}^\circ{C}$ + 32, a warm day on Mt. Everest is -$10^\circ{C}$, convert this temperature into Fahrenheit. iii) Using the formula $t$ = $\sqrt{\frac{2h}{g}}$, calculate the time it takes a 2 pence to fall from the Eiffel Tower, $h$ = 325 and $g$ = 9.8

In this lesson we will learn how to plot any straight-line graph from a table of values. You will learn tips on accurately plotting your points and how to avoid common mistakes often made by students when drawing graphs.

The questions covered in this lesson are i) plot the graph of $y$ = 2$x$ +1 ii) plot the graph of y = -3$x$ + 5

Formula 1 Distance/time, Velocity/time Graphs

There are 2 methods for calculating the average speed from a distance/time graph. In this lesson you will learn the first of these methods. Make sure that you also watch part 2 of this lesson to learn the other method.

In this lesson we will learn the second method for calculating the average speed from a d/t graph. You must be able to calculate the gradient of any straight line graph before trying this lesson. If not then watch the following lesson in Algebra: Finding the gradient of a line.

There are 2 methods for calculating acceleration from a distance/time graph. In this lesson you will learn the first of these methods. You will also learn the units of acceleration. Make sure that you also watch part 2 of this lesson to learn the other method.

In this lesson we will learn the second method for calculating the acceleration from a v/t graph. You must be able to calculate the gradient of any straight line graph before trying this lesson. If not then watch the following lesson in Algebra: Finding the gradient of a line.

In this lesson we will learn how to calculate the deceleration from a v/t graph. You must be able to calculate the acceleration from a v/t graph and find the gradient of any straight line graph before trying this lesson. If not then watch the following lessons in Algebra: Calculating acceleration from a v/t graph part 1/part 2 and/or Finding the gradient of a line.

In this lesson we will learn how to calculate the total distance travelled from a velocity/time graph. You must be able to calculate the area of a reactangle, triangle and trapezium before trying this lesson. If not then watch the following lessons in Geoemtry and measures: Calculating the area of a rectangle and/or calculating the area of a triangle and/or calculating the area of a trapezium.

In this lesson we will learn how to estimate the total distance travelled from a curved velocity/time graph. You must be able to calculate the distance from a v/t graph before trying this lesson. You also need to be able to calculate the area of a reactangle, triangle and trapezium before trying this lesson. If not then watch the following lessons in Geometry and measures: Calculating the total distance travelled from a v/t graph and/or calculating the area of a rectangle and/or calculating the area of a triangle and/or calculating the area of a trapezium.

Geometry and Measures

Volume

In this lesson we will learn what a prism is and the meaning of the term cross sectional area (C/S area). Rob uses different 3 Dimensional cakes and shapes to teach this lesson in a unique and fun way. We will also learn the formula for calculating the volume of any prism and all of the different shapes that are prisms. This lesson will make finding the volume of most shapes very easy. But again this lesson was just an excuse for Rob to eat his favorite cakes.

In this lesson Rob takes you to the great pyramids of Egypt where you will learn how to calculate the volume of a square based pyramid. You will also learn how to complete more complicated questions which will require calculating lengths using 3 dimensional Pythagoras.

The question covered in this lesson is, calculate the volume of the square based pyramid of Giza in Egypt.

Right-angled Trigonometry

In this lesson we will learn how to calculate any angle in a right angled triangle using trigonometry. Rob takes you to the famous leaning tower of Pisa in Italy where you will calculate the angle of the leaning tower of Pisa using trigonometry. You will also learn how to use your calculator in these types of questions and how to use formula triangles to make this lesson even easier. You must be able to correctly label a triangle in trigonometry for you try this lesson. If not then watch the following lesson: How to label the triangle.

The question covered in this lesson is to calculate the missing angle $\ominus $

Angles on Parallel Lines

In this lesson we will learn how to find angles on parallel lines using the rule of alternate angles and you will learn how to gain full marks when answering these types of questions. This lesson has specially edited using special software so that there is a section in the middle of each example where the alternate angles and the lines that make those angles are highlighted in bright red. This makes them stand out so that you can easily see where they were hiding amongst all of the other angles and lines. Because of the way this lesson is edited you will find this lesson very easy to learn.

The questions covered in this lesson are i) find angle $x$, give a reason for your answer.

ii) find angle $x$, give a reason for your answer

Angles

In this lesson you will learn what the angles in a triangle add up too and how to calculate missing angles in a triangle. Rob starts this lesson by showing you a very cool exercise that proves how many degrees there are in a triangle. You can also do this yourself at home.

The questions covered in this lesson are i) find angle $x$, give a reason for your answer

ii) find angle $x$, give a reason for your answer

3D Right-angled Trigonometry (Higher Only)

In this lesson Rob travels to Egypt where he will teach you how to calculate angles inside the great Pyramid of Giza. Rob also uses real 3D models to help you visualise the 2D triangles inside the pyramid that you will need in order to solve these 3D problems.

You must be able to calculate angles using Trigonometry before trying this lesson. If not then watch the following lessons: Finding an angle.

The question that is covered in this lesson is, Calculate the angle AEC inside the great pyramid of Egypt.
The pyramid has a square base.
AE=BE=CE=DE=186m

3D Pythagoras (Higher Only)

In this lesson Rob travels to Egypt where he will teach you how to calculate the actual height of the great Pyramid of Giza. Rob also uses real 3D models to help you visualise the 2D triangles inside the pyramid that you will need in order to solve these 3D problems.

You must be able to calculate lengths using Pythagoras before trying this lesson. If not then watch the following lessons: Pythagoras theorem finding the longest side and/or Pythagoras theorem finding the shorter side.

The question that is covered in this lesson is, Calculate the height of the great pyramid of Egypt. ABCD is a square. AE=BE=CE=DE=186m

Number, Ratio and Proportion

Rounding

This this lesson we learn how to round numbers to a certain number of significant figures. Only large numbers bigger than 1 will be covered in this lesson. It would help if you are able to round to decimal places before trying this lesson as there are similar rules in both of these topics.

Statistics and Probability

Venn Diagrams

In this lesson you will learn how to draw a Venn diagram to show information that is given in a word question and how to answer questions from the information in the Venn diagram.

The question that is covered in this lesson is, 100 students were asked if they owned an iPad or computer. 44 students owned an iPad, 24 students owned a computer and 15 students owned both. i) how many owned a computer but not an iPad? ii) how many owned neither a computer or a iPad?

In this lesson you will learn how to draw a Venn diagram to show information that is given in a word question and how to answer questions from the information in the Venn diagram.

The question that is covered in this lesson is, 100 students were asked if they owned an iPad or computer. 44 students owned an iPad, 24 students owned a computer and 15 students owned both. i) how many owned a computer but not an iPad? ii) how many owned neither a computer or a iPad?

Conditional Probability

In this lesson you will learn how to calculate conditional probability using Venn diagrams that contain 2 sets.

The questions that are covered in this lesson are, Paul did a survey to see if people had a cat, c or a dog, d. The results are shown in the venn diagram. 1 person is chosen at random. i) Work out P(c $\cap$ d/d). ii) Work out P(c $\cap$ d/c).